-490x^2+1470x=980

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Solution for -490x^2+1470x=980 equation:


Simplifying
-490x2 + 1470x = 980

Reorder the terms:
1470x + -490x2 = 980

Solving
1470x + -490x2 = 980

Solving for variable 'x'.

Reorder the terms:
-980 + 1470x + -490x2 = 980 + -980

Combine like terms: 980 + -980 = 0
-980 + 1470x + -490x2 = 0

Factor out the Greatest Common Factor (GCF), '490'.
490(-2 + 3x + -1x2) = 0

Factor a trinomial.
490((-2 + x)(1 + -1x)) = 0

Ignore the factor 490.

Subproblem 1

Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2

Subproblem 2

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Solution

x = {2, 1}

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